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Finding the Fourth Proportional to 18,403, 25,396.24 and 10,019.50

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Solution

The fourth proportional to 18,403, 25,396.24 and 10,019.50 is: 13,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,403 : 25,396.24 = 10,019.50 : x
  2. Step 2: Convert to fraction form
    18,403/25,396.24 = 10,019.50/x
  3. Step 3: Cross multiply
    18,403x = 25,396.24 × 10,019.50
  4. Step 4: Simplify right side
    18,403x = 254,457,626.68
  5. Step 5: Solve for x
    x = 254,457,626.68/18,403
  6. Step 6: Final answer
    x = 13,826.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.